Some results on factorization of monoids

Zsolt Adam Balogh, Tamar Mesablishvili

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Factorizations of monoids are studied. Two necessary and sufficient conditions in terms of the so-called descent 1-cocycles for a monoid to be factorized through two submonoids are found. A full classification of those factorizations of a monoid whose one factor is a subgroup of the monoid is obtained. The relationship between monoid factorizations and non-abelian cohomology of monoids is analyzed. Some applications of semi-direct product of monoids are given.

Original languageEnglish
Article number2450118
JournalJournal of Algebra and its Applications
Volume23
Issue number6
DOIs
Publication statusAccepted/In press - 2023

Keywords

  • Monoid
  • descent cohomology
  • factorization
  • monoid action

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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